**Contemporary Mathematics**

Volume: 519;
2010;
230 pp;
Softcover

MSC: Primary 55; 46;

Print ISBN: 978-0-8218-4929-3

Product Code: CONM/519

List Price: $94.00

Individual Member Price: $75.20

**Electronic ISBN: 978-0-8218-8198-9
Product Code: CONM/519.E**

List Price: $94.00

Individual Member Price: $75.20

# Homotopy Theory of Function Spaces and Related Topics

Share this page *Edited by *
*Yves Félix; Gregory Lupton; Samuel B. Smith*

This volume contains the proceedings of the Workshop on Homotopy Theory of
Function Spaces and Related Topics, which was held at the Mathematisches
Forschungsinstitut Oberwolfach, in Germany, from April 5–11, 2009.

This volume contains fourteen original research articles covering a broad
range of topics that include: localization and rational homotopy theory,
evaluation subgroups, free loop spaces, Whitehead products, spaces of
algebraic maps, gauge groups, loop groups, operads, and string topology.

In addition to reporting on various topics in the area, this volume
is supposed to facilitate the exchange of ideas within Homotopy Theory
of Function Spaces, and promote cross-fertilization between Homotopy
Theory of Function Spaces and other areas. With these latter aims in
mind, this volume includes a survey article which, with its extensive
bibliography, should help bring researchers and graduate students up
to speed on activity in this field as well as a problems list, which
is an expanded and edited version of problems discussed in sessions
held at the conference. The problems list is intended to suggest
directions for future work.

#### Table of Contents

# Table of Contents

## Homotopy Theory of Function Spaces and Related Topics

- Contents v6 free
- Preface vii8 free
- Conference Participants ix10 free
- Conference Presentations xi12 free
- Survey Article 114 free
- Contributed Articles 4154
- Upper Bounds for the Whitehead-Length of Mapping Spaces 4356
- String Topology of Classifying Spaces and Gravity Algebras 5568
- A Fibrewise Stable Splitting and Free Loops on Projective Spaces 6780
- Rational Homotopy of Symmetric Products and Spaces of Finite Subsets 7790
- Derivations, Hochschild Cohomology and the Gottlieb group 93106
- Rational homotopy groups of function Spaces 105118
- Formality of the Framed Little 2-Discs Operad and Semidirect Products 115128
- James Construction, Fox Torus Homotopy Groups, and Hopf Invariants 123136
- Notes on the Triviality of Adjoint Bundles 133146
- Spaces of Algebraic Maps From Real Projective Spaces Into Complex Projective Spaces 145158
- On the Rational Cohomology of the Total Space of the Universal Fibration Withan Elliptic Fibre 165178
- On the Realizability of Gottlieb Groups 181194
- Localization of Grouplike Function and Section Spaces with Compact Domain 189202
- Non-Integral Central Extensions of Loop Groups 203216

- Problem List 215228

#### Readership

Graduate students and research mathematicians interested in properties of function spaces.